Chapter 167

Five questions.

In terms of difficulty, it can be divided into three levels.

The third question, the lowest level, is the easiest question among the five questions.

The first question, the second question, the second level, the difficulty is moderate among the five questions.

The fourth question, the fifth question, the third level, the two most difficult questions!

Of course, the difficulty levels here are only relative.

Any of these five questions is enough to be regarded as the finale question of a college mathematics competition.

Compared with the first lesson of the fraction class, the third question that Gu Lu wrote on the blackboard was much more difficult.

Maybe others have already kneeled down when encountering this kind of problem.

But Bi Qi felt that he could still struggle a little.

After all, what Teacher Gu requires is that you only need to get three out of five questions right, not all of them.

Two hours is still a good chance.

Bi Qi decided to adopt the difficult-to-easy strategy first.

He didn't have the confidence to directly conquer the fourth and fifth questions.

Although Bi Qi likes to show off, he still has a relatively clear understanding of his own abilities.

To put it simply, it is a very b-number.

It is safest to start with the third question, which is the simplest.

Bi Qi took a deep breath and read the third question from beginning to end.

Bi Qi took out a piece of A4 paper, wrote his name, and then wrote a big word "Jie".

The whole process went smoothly and in one go.

Then……

Then Bi Qi carefully put the answer sheet in a book and took a piece of scratch paper.

While thinking about the problem-solving ideas in my mind, I deduced the formulas on the scratch paper again and again.

Five minutes later, Bi Qi's eyes lit up, and he clenched his right hand suddenly, looking excited.

"Yes, that should be it."

Taking the answer sheet, Bi Qi pondered for a few seconds and then slowly wrote down line after line of formulas on it:

[f(x)=f(t)/0!f'(t)/1!*(x-a)f''(t)/2!*(x-a)^2......

…………

0=f(0)=-1f''(t1)/2!x0^2

0=f(1)=……

And because 0≤x≤1, so f(η)=max{2/x^2,2/(1-x0)^2}≥8!】

As for the third question, the difficulty is relatively easy.

Because this problem only needs to use the special form of Taylor's formula, Maclaurin's expansion, and the relevant knowledge of the Schlemilch-Roche remainder, it can be solved perfectly.

In about twenty minutes, Bi Qi wrote a full page of formulas on an A4 paper and successfully solved this question.

"It's very simple!" Bi Qi muttered, and then began to solve the first question.

For the first question, Bi Qi thought hard for ten minutes before coming up with an idea.

This question is a very comprehensive question.

Roughly speaking, it examines four aspects: elliptic equations, trigonometric functions, differential equations, and vector operations.

The first question has two questions.

Solving the first question requires knowledge of vectors and trigonometric functions, which is not difficult for Bi Qi.

The difficulty lies in the second question.

The second question is mainly about ordinary differential equations, which is something that can only be studied in the third volume of mathematics.

Bi Qi thought for a long time before he realized that the second question should be solved using the Picco-Lindlöf theorem for solving ordinary differential equations!

It took Bi Qi another half an hour to solve the first question. This time Bi Qi wrote a page and a half of formulas, which were so densely packed that an ordinary person's scalp would go numb after seeing them.

Bi Qi glanced at the time.

There is still about an hour to spare.

After some simple thinking, Bi Qi decided to challenge the fourth question.

In his opinion, one hour was enough for him to solve the fourth question, even if it was a bit difficult.

At that time, I can still prove myself to Teacher Gu.

But it turns out that Student Bi Qi thought too much.

Ten minutes later, Bi Qiqiang angrily crumpled the draft paper into a ball and threw it into the trash can.

"Fuck, I'm a coward!" Bi Qi pointed at the fourth question and cursed, then picked up a new piece of draft paper and gloomily listed the formulas to solve the second question.

It’s too difficult, it’s really too difficult!

Bi Qi really regretted why he got so excited and went to solve the fourth question just now.

I wasted a lot of time not talking, and made my mentality extremely explosive.

After pondering the fourth question for more than ten minutes, Bi Qi really had no idea at all.

Not to mention solving this question, even the whole question seems to be understood.

Seeing time passing by minute by second, Bi Qi decisively chose to give up.

Let’s go to the second question.

Bi Qi stopped showing off.

After taking a few deep breaths, Bi Qi adjusted her mentality.

At about 11:50, when Gu Lu stretched himself, closed the computer and was about to have lunch, Bi Qi came over with several pieces of A4 paper.

"Did you finish?" Gu Lu took the answer sheet handed over by Bi Qi and said with a smile.

Bi Qi nodded without any expression of excitement, "It's done. But I only did the first three questions."

Gu Lu smiled and nodded, "That's right. If you can solve all five questions, let alone the math class this semester, I will agree to your request to be exempted from the math class next semester."

After speaking, Gu Lu flipped through Bi Qi's answer sheet page by page.

The answer is, no problem.

After a cursory glance at the derivation steps, there are no major flaws.

Gu Lu returned several pieces of A4 paper to Bi Qi and said, "Do you have the application form for exemption from hearing?"

"I've brought it, I've brought it." Bi Qi looked happy and took out a folded application form for exemption from listening, which was already signed by the counselor.

Gu Lu took it and signed his name.

Bi Qi put it away carefully.

Gu Lu told Bi Qi, "Don't think that everything will be fine once you apply for exemption. Several roommates in your dormitory will tell you about the homework you usually leave for class, so don't forget to hand it in."

Bi Qi's chest thumped loudly, "Teacher, don't worry, I will hand it in on time."

Gu Lu then spoke, "If you are not here to collect homework, let someone else do it for you."

Bi Qi smiled and said, "Just Ma Zhengxuan, we are all acquaintances, so it's convenient."

"The last point is the final exam. You must be serious about the final exam and don't be too casual." Gu Lu finally reminded, "I can give you a little news about this final exam.

.”

"What?" Bi Qi was curious.

Gu Lu pointed at himself, "This year's math final exam paper was written by me."

Bi Qi: "..."

Bi Qi swallowed subconsciously, clasped his hands together, and begged, "Teacher, you must be merciful!"

Beezy was not worried that if he failed to reach an 85 on the final exam, his grade would be recorded as a failing grade.

Because he could only take the test paper with a score of 85, it is estimated that the failure rate of the whole class could reach half.

His goal is not 85 points, but... 95 points or above!

Bi Qi wants to select this year's special scholarship.

One of the basic conditions for selection is that the final score of any subject is not allowed to be below 95 points.

If other teachers set questions, Bi Qi is 100% sure to achieve this goal.

But what Teacher Gu said...
Chapter completed!